For a sample of n = 16 scores, what is the value of the population standard deviation (o) necessary to produce each of the following standard error values?
a. Ом = 8 points
b. Ом =4 points
с. Ом = 1 point

Answers

Answer 1

Using the Central Limit Theorem, it is found that the values of the population standard deviation [tex]\sigma[/tex] needed are given by:

a) [tex]\sigma = 32[/tex]

b) [tex]\sigma = 16[/tex]

c) [tex]\sigma = 4[/tex]

What does the Central Limit Theorem state?

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, we have that n = 16.

Item a:

s = 8, hence:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]8 = \frac{\sigma}{\sqrt{16}}[/tex]

[tex]\sigma = 32[/tex]

Item b:

s = 4, hence:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = \frac{\sigma}{\sqrt{16}}[/tex]

[tex]\sigma = 16[/tex]

Item c:

s = 1, hence:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = \frac{\sigma}{\sqrt{16}}[/tex]

[tex]\sigma = 4[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213


Related Questions

Katie ate dinner at a restaurant. The bill came to $77. If she left an 18% tip, how much was the tip?


Can someone pls help me?​

Answers

Answer:

$13.86

Step-by-step explanation:

Just multiply 77 by 18 percent as a decimal (.18) to get the answer, which is $13.86

Hopefully this helps- let me know if you have any questions!

i need help finding x and y​

Answers

Answer:

x is 5 and y is 6

Step-by-step explanation

we find 2/3 factors that equal 10. 2 and 3. the only other number that can be added that equals 10 is 5. i apply the same logic to y

Answer:

Y -- 6

X -- 5

Step-by-step explanation:

we first find y by finding the side that is the longest that is parallel to y (16) we also find that two sets of fives are also parallel to y and 16 as seen in the first screenshot. Then to find the missing value we will subtract the 5 two times from 16 to find y. 16 - 5  = 11 - 5 = 6.

we do the same thing to find x, (10 - 2 = 8) (8 - 3 = 5) X = 5

You have four $20 bills, ten $5 bills, and twelve $1 bills in your wallet. If you reach into your wallet twice, what is the probability that you will pull out a $1 bill the first time and a $5 bill the second time?

Answers

Answer:

2/28 ?

Step-by-step explanation:

if I'm wrong so sorry

There should be 2 answers

Answers

[tex]|6m-2|=0\\\\\implies 6m-2 =0~~~~~~~~~~~~~;[\text{If}~ |x| = 0 ~\text{then}~ x = 0]\\\\\implies m = \dfrac 26 = \dfrac 13[/tex]

The number 28,363,775 rounded to the nearest ten thousand is

Answers

Answer:

50,000

Step-by-step explanation:

Just put it in the answer lol :p

Answer:

28,360,000

Step-by-step explanation:

The number after the 6 (the ten thousands is 3, so it rounds down to 28, 360, 000.

please give brainliest!

Pablo had $319 in his savings account. He got $28 for helping a neighbor, and he saved all but $11 of it.

How much is in Pablo's savings account now?

A.
$330

B.
$336

C.
$347

D.
$358

Answers

Answer:

the correct answer is B. $336

Step-by-step explanation:

you first add 319 and 28. Then, you subtract the product with 11.

To be honest I think the answer is B

55% of 70 =
I want to know for my hw

Answers

Answer:

38.5

Step-by-step explanation:

70*(0.55) = 38.5

Answer:

Step-by-step explanation:

To find 55% of 70, we need to write an equation.

this equation will be 55x70/100

now, the answer to 55x70 / 100 is

38.5

We get this answer, because 55x70=3850

and 3850 divided by 100 is 38.5

At the movie theatre , child admission is $ 6.40 and adult admission is $ 9.60 . On Monday , 153 tickets were sold for a total sales of $ 1270.40 . How many adult tickets were sold that day ?

Answers

Answer:

91 adult tickets

Step-by-step explanation:

Algebra is really useful here:

Let a = number of adult tickets sold and c = number of child tickets sold.

Thus, we can say that

a + c = 153 (number of tickets)

6.40c + 9.60a = 1270.4. (cost of all of the tickets)

Solving,

c = 153 - a

6.40(153 - a) + 9.60a = 1270.4

979.2 - 6.40a + 9.60a = 1270.4

3.20a = 291.2

a = 91

How many factors do numbers of the form p^n and q^m have if p and q are two different prime numbers and m and n are natural numbers?

Answers

The only common factor between these two numbers will be 1.

How many factors do these numbers share?

Remember that any number can be decomposed as a product of prime numbers. For example for 18 we have:

18 = 2*3*3

There 18 is written as a product of its prime factors.

Now, for our case of p^n and q^m we will have:

p^n = P = p*p*p...*p     n times.

q^m = Q = q*q*q*...*q     m times.

Now, notice that because q and p are primes, there is no common factor in these two decompositions. (and we can't decompose it furthermore). Then we conclude that the only factor that these numbers share is the trivial one, which is 1.

If you want to learn more about prime numbers, you can read:

https://brainly.com/question/145452

Solve by completing the square

Answers

Answer:

The answer is (-6 + √41), (-6 – √41)

Step-by-step explanation:

We are given an equation

x² + 12x = 5

Subtract 5 from both side we get,

x² + 12x – 5 = 5 – 5

x² + 12x – 5 = 0

we get the equation in the form of

ax² + bx + c = 0

Here, a = 1, b = 12, c = (-5)

Now, Add and subtract (b/2a)² we get,

x² + 12x + (12/2)² – (12/2)² – 5 = 0

x² + 12x + (6)² – (6)² – 5 = 0

(x + 6)² – 36 – 5 = 0

(x + 6)² – 41 = 0

Now, add 41 both side we get,

(x + 6)² – 41 + 41 = 0 + 41

(x + 6)² = 41

√(x + 6)² = √41

x + 6 = ±√41

x = -6 + √41, -6 – √41

Thus, The roots of the equation is

(-6 + √41) and (-6 – √41).

-TheUnknownScientist 72

PLEASE HELP ME WITH THIS !!

Answers

Answer: C

Step-by-step explanation:

When Flipped Down A is on the same point as D

Answer:

c

Step-by-step explanation:

because they are mirrored the only one that is equivilent is c

b doesnt corrospond to f it corrosponds to e

bc corrosponds to ef

ab corrosponds to ed.

express in the form 1 : n give n as a simplifeid fraction 8 : 6​

Answers

Answer:

So, Simplified fraction of 8:6 is 4:3.

What is the balance point for the following data set? 19 80 15 20​

Answers

The balance point of the dataset is the mean of the dataset

The balance point of the dataset is 20

How to determine the balance point?

From the dataset, we have the following frequency table

Data (x)     Frequency (f)

15                    2

24                   1

26                  1

The balance point of the dataset is the mean value of the dataset, and the mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

This gives

[tex]\bar x = \frac{15 * 2 + 24 * 1 + 26 *1}{2 +1+1}[/tex]

Evaluate the sum

[tex]\bar x = \frac{80}{4}[/tex]

Evaluate the quotient

[tex]\bar x = 20[/tex]

Hence, the balance point of the dataset is 20

Read more about mean at:

https://brainly.com/question/14532771

Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.
(a)
What is the distance, In feet, from the base of the ladder to the base of the wall? Round to the nearest tenth of a foot.
(b) Regis needs to move the ladder so that it reaches a window 9.6 feet above the ground.
How many feet closer to the building does he need to move the base of the ladder?

Answers

The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.

He needs to move the ladder 0.1 ft closer to the base of the building.

The situation forms a right angle triangle.

Right angle triangle

Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;

cos 65° = adjacent / hypotenuse

cos 65° = d / 10

d = 10 × 0.42261826174

d = 4.22618261741

d = 4.2 ft

She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;

cos 65 = d / 9.6

d = 9.6 × 0.42261826174

d = 4.05696

d = 4.1

Therefore, he needs to move the ladder 0.1 ft closer to the building.

learn more on right angle triangle here: https://brainly.com/question/14988069


A 10-inch tire has a diameter of 10 inches. What is the circumference of these tires?

Answers

Answer:

31.4

Step-by-step explanation:

diameter (d) = 10

circumference = (3.14)d

                        = (3.14)10 = 31.4

circumference = 31.4

Solve for c
Can you pls help me??

Answers

Answer:

5(c+3)=85

divide both sides by 5

c+3=17

taking 3 to the other side gives us -3

c=17-3

c=14

Please help I'll mark brainliest ​

Answers

The answer is :his average is increase by 12
C: His average will increase by 12

Which of the following best describes the graph below

Answers

Answer:

i believe its A

Step-by-step explanation:

Answer:

B. The graph is not a function.

Step-by-step explanation:

We are given the graph of a relation. It is required to determine whether the graph represents a function or not. 'If a vertical line passing through the graph of the relation cuts the graph at at-most one point, then the given graph represents a function else not'. So, if we plot the vertical line 'x = 3' in the figure, we see that, The vertical line drawn crosses the graph at two points A and B as shown below. Thus it would be B

The length of a rectangular garden is 4 more than three times the width. If the perimeter of the garden 104 feet, what are the dimensions of the garden.

Write your system of equations:
Answer the question being asked:

Answers

Answer:

12 ft by 40 ft

Step-by-step explanation:

Let L represent the length and W the width.  Then L = 3W + 4.

The perimeter formula is P = 2L + 2W or P = 2(L + W).

Substituting 104 ft for P, we get 104 ft = 2(L + W), which reduces to

52 ft = L + W, or 52 ft = 3W + 4 + W.

Therefore, 52 ft = 4W + 4.  

Solving this for W, we get 48 ft = 4W, or W = 12 ft.

Then, because L = 3W + 4, L = 3(12 ft) + 4 = 40 ft = L

The dimensions of the garden are 12 ft by 40 ft.

Kala drove 603 miles in 9 hours at the same rate how many miles would she drive in 12 hours

Answers

Answer:

804

Step-by-step explanation:

603/9 x 12

67 x 12

804

Answer:

804 miles in 12 hours

Step-by-step explanation:

603/9 which = 67

67*12 which equal 804

don't forget the unit (mph)

Jodi has a collection of 153 shells. She gives 39 shells to her sister Sherri. Then their mother gives each sister 28 shells.

Part A
How many shells does Sherri have now?

A.
28

B.
67

C.
142

D.
181

Part B
How many shells does Jodi have now?

A.
28

B.
67

C.
142

D.
181

Answers

Answer:

Part-A= C

Part-B= B

Step-by-step explanation:

153-39=114

114+28=142

39+28=67

Answer:

Part A is b and Part B is c good luck

can someone plssss help me with this. I WILL MARK BRAINLIEST

Answers

Answer:

5 payments

Step-by-step explanation:

First we add up the prices for the lunches and the movies :)

3 x 5 = 15

15 + 9.5 = 24.5

Second we subtract the 24.5 from the 35 :)

35 - 24.50 = 10.5

Now we divide the price of the cd player by the 10.50 to get the total number of payments :)

50/10.5 = 5

Finally to check it one more time, we multiply the 10.5 by 5 and if it equals 50 or over, it is correct!! :D

10.5 x 5 = 52.5!!!

You did it!

Your correct answer is 5 payments!!

Have a great day!!!

Please rate and mark brainliest!!

Answer: he will have enough in 5 allowance payments

Explanation:
35+5=40 (starting cash)
40-24.5=15.5 (week 1)
15.5+35-24.5=26 (week 2)
26+35-24.5=36.5 (week 3)
36.5+35-24.5= 47 (week 4)
47+35-24.5=57.5 (week 5)

Need help on number 10
If tan C is 3/4, find the sin C.

Answers

Answer:

sin C = 3/5

Step-by-step explanation:

see image.

It helps to draw a picture. Tan C is the ratio of the OPP/ADJ.

Pythagorean theorem or if you know Pythagorean triples are a shortcut to find the hypotenuse.

Once you know the hypotenuse, use the ratio for sine to solve the question. Sine is OPP/HYP.

see image.

The longer leg of a right triangle is 1 cm longer than the shorter leg. The hypotenuse is 9 cm longer than the shorter leg. Find the side lengths of the
triangle.
cm
Length of the shorter leg: 0
Length of the longer leg: 0
Length of the hypotenuse: 0
cm
cm

Answers

Answer:

Shorter leg = 20 cm.

Longer leg = 21cm.

Hypotenuse = 29 cm

Step-by-step explanation:

Let the shorter leg be x cm long

Then longer leg = x + 1 and hypotenuse = x + 9 cm long

So by Pythagoras:

x^2 + (x + 1)^2 = (x + 9)^2

0 = x^2 + 18x + 81 - x^2 - (x^2 + 2x + 1)

x^2 + 18x + 81 - x^2 - x^2 - 2x - 1 = 0

-x^2 + 16x + 80 = 0

x^2 - 16x - 80 = 0

(x - 20)(x + 4) = 0

So x = 20   (we ignore the negative root).

So longer leg = 20 + 1 and hypotenuse = 20 + 9.

PLEASE HELP!!! I"LL MARK AS BRAINLIEST!!!A local water park has two types of season passes. Plan A costs a one-time fee of $139 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $43 for parking plus $24 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?

Answers

Answer:

6 visits

Step-by-step explanation:

Plan A: 139+8x

Plan B: 43+24x

Set the equations equal to each other.

[tex]139 + 8x = 43 + 24x[/tex]

Subtract 43 from both sides.

[tex]96 + 8x = 24x[/tex]

Subtract 8x from both sides.

[tex]96 = 16x[/tex]

Divide both sides by 16.

[tex]x = 6[/tex]

The answer would be 6 visits! I hope this helps!

What is the value of y in the equation 4x +3 y= 23 when x=2 , x=6

Answers

Answer:

5, -⅓

Step-by-step explanation:

x = 2:

4x + 3y = 23

3y = 23 - 4(2)

3y = 15

y = 5

x = 6:

4x + 3y = 23

3y = 23 - 4(6)

3y = -1

y = -⅓

Can someone help me out!

Answers

Answer:

option c

Step-by-step explanation:

This is the net of square pyramid.

Base of the square pryamid is square and all the other face are triangle.

please help! What is 75 % of 62-(98/4)

Answers

Answer:

28.13

Step-by-step explanation:

62 - (98/4)

62 - 24.5 = 37.5

75% of 37.5 is 28.125, or 28.13.

Answer:

22

Step-by-step explanation:

98/4 = 24.5

62-24.5 = 37.5

75% of 37.5

= about 22

Choose the multiplication problem that correctly shows partial products.
A) A
B) B
C) C

Answers

Answer:

B) B

Step-by-step explanation:

   2 times 4 is 8, so in this case the option is option b as none of the other options show this.

    In total,

2 * 4 = 8

60 * 4 = 240

240 + 8 = 248

B) We are multiplying 4 by 2 we got 8 then we should multiply 4 by 6 it is 24 and then we are putting 24 under 8 , we should put 8 at the end and at the beginning 24 so it is 248

A model of Earth is located 7600 meters from the Globe Arena in Sweden’s solar system model. The volume of the model is approximately 3052.08 cubic centimeters. What is the length of the radius of the Earth model?

Answers

Answer:

The length of the radius of the mudel is 9 cm

Step-by-step explanation:

[tex]By\ the\ topic[/tex]

[tex]The\ volume\ of\ the\ mudel\primes\ is\ 3052.08{\rm cm}^3[/tex]

[tex]Formula\ for\ the\ volume\ of\ the\ sphere\ is[/tex]

[tex]\frac{4}{3}\pi\ r^3[/tex]

[tex]\frac{4}{3}\pi\ r^3=3052.08[/tex]

[tex]\pi\ r^3=\frac{3}{4}\times3052.08=2289.06[/tex]

[tex]\gamma3=2289.06\div\pi[/tex]

[tex]\gamma=\sqrt{\frac{2289.06}{\pi}}\approx\sqrt{\frac{2289.06}{3.14}}+\sqrt{729}[/tex]

[tex]r=9cm[/tex]

[tex]7hus,\ the\ length\ of\ the\ vadius\ of\ eanth[/tex]

[tex]mudel\ is\ 9\ cm[/tex]

[tex]Application\ of\ the\ volume\ of\ the\ spheve?[/tex]

I hope this helps you

:)

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